Odpowiedź:
a) y=x²+5x+4
a=1, b= 5, c=4
Δ = b²-4ac
Δ = 25-16 = 9
W = (p,q)
p= [tex]\frac{-b}{2a} = \frac{-5}{2} = - 2,5[/tex]
q= [tex]\frac{-9}{4} = -2,25[/tex]
W=(-2,5 ; -2,25)
b) y=4x²+5x+1
Δ = b²-4ac
Δ = 25-16 = 9
W = (p,q)
p= [tex]\frac{-5}{8}[/tex]
q = [tex]\frac{-9}{16}[/tex]
W = ([tex]\frac{-5}{8} ; \frac{-9}{16}[/tex])
c) y= -2x²+4x+6
Δ = b²-4ac
Δ = 16+48 = 64
p= [tex]\frac{-4}{-4} = 1[/tex]
q=[tex]\frac{-64}{-8} = 8[/tex]
W= (1,8)
d) y=4x²+8x+1
Δ = b²-4ac
Δ = 64-16 = 48
p=[tex]\frac{-8}{8} = -1[/tex]
q= [tex]\frac{-48}{16} = -3[/tex]
W= (-1,-3)
Szczegółowe wyjaśnienie:
